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Finding the Fourth Proportional to 494.34, 682.74 and 369.78

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Solution

The fourth proportional to 494.34, 682.74 and 369.78 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.34 : 682.74 = 369.78 : x
  2. Step 2: Convert to fraction form
    494.34/682.74 = 369.78/x
  3. Step 3: Cross multiply
    494.34x = 682.74 × 369.78
  4. Step 4: Simplify right side
    494.34x = 252,463.60
  5. Step 5: Solve for x
    x = 252,463.60/494.34
  6. Step 6: Final answer
    x = 510.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.